Side of Heptagon given Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Side of Heptagon = sqrt((4*Area of Heptagon*tan(pi/7))/7)
S = sqrt((4*A*tan(pi/7))/7)
This formula uses 1 Constants, 2 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Side of Heptagon - (Measured in Meter) - Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon.
Area of Heptagon - (Measured in Square Meter) - The Area of Heptagon is the amount of two-dimensional space taken up by the Heptagon.
STEP 1: Convert Input(s) to Base Unit
Area of Heptagon: 365 Square Meter --> 365 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = sqrt((4*A*tan(pi/7))/7) --> sqrt((4*365*tan(pi/7))/7)
Evaluating ... ...
S = 10.0221108659018
STEP 3: Convert Result to Output's Unit
10.0221108659018 Meter --> No Conversion Required
FINAL ANSWER
10.0221108659018 10.02211 Meter <-- Side of Heptagon
(Calculation completed in 00.004 seconds)

Credits

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St Joseph's College (SJC), Bengaluru
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9 Side of Heptagon Calculators

Side of Heptagon given Area
Go Side of Heptagon = sqrt((4*Area of Heptagon*tan(pi/7))/7)
Side of Heptagon given Long Diagonal
Go Side of Heptagon = 2*Long Diagonal of Heptagon*sin(((pi/2))/7)
Side of Heptagon given Short Diagonal
Go Side of Heptagon = Short Diagonal of Heptagon/(2*cos(pi/7))
Side of Heptagon given Circumradius
Go Side of Heptagon = 2*Circumradius of Heptagon*sin(pi/7)
Side of Heptagon given Height
Go Side of Heptagon = 2*Height of Heptagon*tan(((pi/2))/7)
Side of Heptagon given Width
Go Side of Heptagon = 2*Width of Heptagon*sin(((pi/2))/7)
Side of Heptagon given Inradius
Go Side of Heptagon = 2*Inradius of Heptagon*tan(pi/7)
Side of Heptagon given Area of Triangle and Inradius
Go Side of Heptagon = (2*Area of Triangle of Heptagon)/Inradius of Heptagon
Side of Heptagon given Perimeter
Go Side of Heptagon = Perimeter of Heptagon/7

4 Side of Heptagon Calculators

Side of Heptagon given Area
Go Side of Heptagon = sqrt((4*Area of Heptagon*tan(pi/7))/7)
Side of Heptagon given Circumradius
Go Side of Heptagon = 2*Circumradius of Heptagon*sin(pi/7)
Side of Heptagon given Height
Go Side of Heptagon = 2*Height of Heptagon*tan(((pi/2))/7)
Side of Heptagon given Area of Triangle and Inradius
Go Side of Heptagon = (2*Area of Triangle of Heptagon)/Inradius of Heptagon

Side of Heptagon given Area Formula

Side of Heptagon = sqrt((4*Area of Heptagon*tan(pi/7))/7)
S = sqrt((4*A*tan(pi/7))/7)

What is a Heptagon?

Heptagon is a polygon with seven sides and seven vertices. Like any polygon, a heptagon may be either convex or concave, as illustrated in the next figure. When it is convex, all its interior angles are lower than 180°. On the other hand, when its is concave, one or more of its interior angles is larger than 180°. When all the edges of the heptagon are equal then it is called equilateral

How to Calculate Side of Heptagon given Area?

Side of Heptagon given Area calculator uses Side of Heptagon = sqrt((4*Area of Heptagon*tan(pi/7))/7) to calculate the Side of Heptagon, The Side of Heptagon given Area formula is defined as the length of the line segment joining two adjacent vertices of Heptagon, calculated using area of the Heptagon. Side of Heptagon is denoted by S symbol.

How to calculate Side of Heptagon given Area using this online calculator? To use this online calculator for Side of Heptagon given Area, enter Area of Heptagon (A) and hit the calculate button. Here is how the Side of Heptagon given Area calculation can be explained with given input values -> 10.02211 = sqrt((4*365*tan(pi/7))/7).

FAQ

What is Side of Heptagon given Area?
The Side of Heptagon given Area formula is defined as the length of the line segment joining two adjacent vertices of Heptagon, calculated using area of the Heptagon and is represented as S = sqrt((4*A*tan(pi/7))/7) or Side of Heptagon = sqrt((4*Area of Heptagon*tan(pi/7))/7). The Area of Heptagon is the amount of two-dimensional space taken up by the Heptagon.
How to calculate Side of Heptagon given Area?
The Side of Heptagon given Area formula is defined as the length of the line segment joining two adjacent vertices of Heptagon, calculated using area of the Heptagon is calculated using Side of Heptagon = sqrt((4*Area of Heptagon*tan(pi/7))/7). To calculate Side of Heptagon given Area, you need Area of Heptagon (A). With our tool, you need to enter the respective value for Area of Heptagon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Side of Heptagon?
In this formula, Side of Heptagon uses Area of Heptagon. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Side of Heptagon = 2*Long Diagonal of Heptagon*sin(((pi/2))/7)
  • Side of Heptagon = Short Diagonal of Heptagon/(2*cos(pi/7))
  • Side of Heptagon = Perimeter of Heptagon/7
  • Side of Heptagon = 2*Circumradius of Heptagon*sin(pi/7)
  • Side of Heptagon = 2*Inradius of Heptagon*tan(pi/7)
  • Side of Heptagon = 2*Height of Heptagon*tan(((pi/2))/7)
  • Side of Heptagon = 2*Width of Heptagon*sin(((pi/2))/7)
  • Side of Heptagon = (2*Area of Triangle of Heptagon)/Inradius of Heptagon
  • Side of Heptagon = (2*Area of Triangle of Heptagon)/Inradius of Heptagon
  • Side of Heptagon = 2*Circumradius of Heptagon*sin(pi/7)
  • Side of Heptagon = 2*Height of Heptagon*tan(((pi/2))/7)
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